{"id":"topology-creates-divergence-window-not-correctness-gap","text":"Replication topology affects only the duration of observable divergence, not the final convergence outcome: all topologies use identical deterministic LWW resolution, but ring topology creates O(N) rounds of divergence while all-to-all converges in O(1) — with no adaptive topology switching, the system cannot minimize the divergence window in response to cluster size or partition conditions.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["topology-does-not-change-conflict-outcome","ring-topology-convergence-is-linear-in-node-count","all-to-all-converges-in-one-round"],"outlist":[],"label":"Same eventual outcome but O(N) vs O(1) observable divergence window with static topology selection"}],"dependents":["multi-leader-convergence-reliable-across-topologies"],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"topology-creates-divergence-window-not-correctness-gap","truth_value":"IN","reason":"SL justification valid","antecedents":["topology-does-not-change-conflict-outcome","ring-topology-convergence-is-linear-in-node-count","all-to-all-converges-in-one-round"],"label":"Same eventual outcome but O(N) vs O(1) observable divergence window with static topology selection"},{"node":"topology-does-not-change-conflict-outcome","truth_value":"IN","reason":"premise"},{"node":"ring-topology-convergence-is-linear-in-node-count","truth_value":"IN","reason":"SL justification valid","antecedents":["ring-requires-n-minus-one-rounds","ring-topology-needs-multiple-sync-rounds","ring-requeues-via-apply-remote-change"],"label":"Three observations pin convergence delay to the store-and-forward mechanism: apply-remote-change requeues to pending, and pending drains one hop per sync"},{"node":"ring-requires-n-minus-one-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-topology-needs-multiple-sync-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-requeues-via-apply-remote-change","truth_value":"IN","reason":"premise"},{"node":"all-to-all-converges-in-one-round","truth_value":"IN","reason":"premise"}]}}